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# Determine the largest 3 digit number which is exactly divisible by 8, 10, and 12.

We will find the least common multiple (LCM) of 8, 10 and 12

## Answer: The largest 3-digit number which is exactly divisible by 8, 10, and 12 is 960

We will list the multiples of 8, 10 and 12 and then identify the LCM of 8, 10 and 12

**Explanation:**

We will find the LCM of 8, 10, and 12

The LCM of 8, 10, and 12 is 120

Now, we will find the largest 3-digit multiple of 120

The multiples of 120 are 120, 240, 360, 480, 600, 720, 840, __ 960__, 1080

So, the largest 3-digit multiple of 120 is 960

### Therefore, the largest 3-digit number which is exactly divisible by 8, 10, and 12 is 960

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